Whakaoti i te 3+2/3+1{1+frac{1/4}}

$$3 + \frac { 2 } { 3 + \frac { 1 } { 1 + \frac { 1 } { 4 } } }$$

Aromātai

$$\frac{67}{19}\approx 3.526315789$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$3+\frac{2}{3+\frac{1}{\frac{4}{4}+\frac{1}{4}}}$$

Tā te mea he rite te tauraro o \frac{4}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$3+\frac{2}{3+\frac{1}{\frac{4+1}{4}}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$3+\frac{2}{3+\frac{1}{\frac{5}{4}}}$$

Whakawehe 1 ki te \frac{5}{4} mā te whakarea 1 ki te tau huripoki o \frac{5}{4}.

$$3+\frac{2}{3+1\times \frac{4}{5}}$$

Whakareatia te 1 ki te \frac{4}{5}, ka \frac{4}{5}.

$$3+\frac{2}{3+\frac{4}{5}}$$

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$3+\frac{2}{\frac{15}{5}+\frac{4}{5}}$$

Tā te mea he rite te tauraro o \frac{15}{5} me \frac{4}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$3+\frac{2}{\frac{15+4}{5}}$$

Tāpirihia te 15 ki te 4, ka 19.

$$3+\frac{2}{\frac{19}{5}}$$

Whakawehe 2 ki te \frac{19}{5} mā te whakarea 2 ki te tau huripoki o \frac{19}{5}.

$$3+2\times \frac{5}{19}$$

Tuhia te 2\times \frac{5}{19} hei hautanga kotahi.

$$3+\frac{2\times 5}{19}$$

Whakareatia te 2 ki te 5, ka 10.

$$3+\frac{10}{19}$$

Me tahuri te 3 ki te hautau \frac{57}{19}.

$$\frac{57}{19}+\frac{10}{19}$$

Tā te mea he rite te tauraro o \frac{57}{19} me \frac{10}{19}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{57+10}{19}$$

Tāpirihia te 57 ki te 10, ka 67.

$$\frac{67}{19}$$

Tauwehe

$$\frac{67}{19} = 3\frac{10}{19} = 3.526315789473684$$